57716640 has 144 divisors (see below), whose sum is σ = 199017000. Its totient is φ = 15230976.

The previous prime is 57716627. The next prime is 57716657. The reversal of 57716640 is 4661775.

57716640 is a `hidden beast` number, since 5 + 7 + 7 + 1 + 6 + 640 = 666.

57716640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 37896336 = 4452^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57716595 and 57716604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214426 + ... + 214694.

Almost surely, 2^57716640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99508500).

57716640 is an abundant number, since it is smaller than the sum of its proper divisors (141300360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57716640 is a wasteful number, since it uses less digits than its factorization.

57716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57716640 is about 7597.1468328577. The cubic root of 57716640 is about 386.4562602133.

The spelling of 57716640 in words is "fifty-seven million, seven hundred sixteen thousand, six hundred forty".